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Which quadrilateral has all sides equal AND all angles equal?

Class 8Understanding QuadrilateralsQuadrilaterals
  • ARectangle
  • BRhombus
  • CSquare
  • DParallelogram

Step-by-Step Solution

Rectangle has equal angles but not necessarily equal sides. Rhombus has equal sides but not necessarily equal angles. Square has both.
Answer: C) Square

Key idea: The quadrilateral family tree

Order from most general to most special:

```
Quadrilateral
├── Trapezium (one pair of parallel sides)
├── Kite (two pairs of adjacent equal sides)
└── Parallelogram (two pairs of parallel sides)
├── Rectangle (4 right angles)
│ └── Square (4 right angles + all sides equal)
└── Rhombus (4 equal sides)
└── Square (also)
```

A square is BOTH a rectangle and a rhombus — it's the most special kind of parallelogram. A rectangle and a rhombus are both parallelograms. Trapeziums and kites are quadrilaterals but not parallelograms.

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